Bucket 7714

A full bucket of water weighs 10kg. Half weighs 5.5 kg. How much does a bucket weigh?

Correct answer:

m =  1 kg

Step-by-step explanation:


m+v = 10
m+v/2 = 5.5

m+v = 10
2m+v = 11

Pivot: Row 1 ↔ Row 2
2m+v = 11
m+v = 10

Row 2 - 1/2 · Row 1 → Row 2
2m+v = 11
0.5v = 4.5


v = 4.5/0.5 = 9
m = 11-v/2 = 11-9/2 = 1

m = 1
v = 9

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